Base | Representation |
---|---|
bin | 10001011001111… |
… | …10100100010010 |
3 | 101011201222210020 |
4 | 20230332210102 |
5 | 244334231323 |
6 | 22253244310 |
7 | 3422023200 |
oct | 1054764422 |
9 | 334658706 |
10 | 146008338 |
11 | 75466253 |
12 | 40a93696 |
13 | 24332088 |
14 | 1556a070 |
15 | cc41ae3 |
hex | 8b3e912 |
146008338 has 48 divisors (see below), whose sum is σ = 340905600. Its totient is φ = 41567904.
The previous prime is 146008337. The next prime is 146008363. The reversal of 146008338 is 833800641.
146008338 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Curzon number.
It is a junction number, because it is equal to n+sod(n) for n = 146008299 and 146008308.
It is not an unprimeable number, because it can be changed into a prime (146008337) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101895 + ... + 103317.
It is an arithmetic number, because the mean of its divisors is an integer number (7102200).
Almost surely, 2146008338 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 146008338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170452800).
146008338 is an abundant number, since it is smaller than the sum of its proper divisors (194897262).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146008338 is a wasteful number, since it uses less digits than its factorization.
146008338 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1791 (or 1784 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 33.
The square root of 146008338 is about 12083.3909975636. The cubic root of 146008338 is about 526.5737665726.
Adding to 146008338 its reverse (833800641), we get a palindrome (979808979).
The spelling of 146008338 in words is "one hundred forty-six million, eight thousand, three hundred thirty-eight".
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